Semiclassical density of degeneracies in quantum regular systems

The spectrum of eigenenergies of a quantum integrable system whose Hamiltonian depends on a single parameter shows degeneracies (crossings) when the parameter varies. We derive a semiclassical expression for the density of crossings in the plane energy-parameter, that is the number of crossings per...

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Autores principales: Fendrik, Alejandro J., Sánchez, María José
Publicado: 2000
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03054470_v33_n12_p2345_Fendrik
http://hdl.handle.net/20.500.12110/paper_03054470_v33_n12_p2345_Fendrik
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_03054470_v33_n12_p2345_Fendrik
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spelling paper:paper_03054470_v33_n12_p2345_Fendrik2023-06-08T15:30:44Z Semiclassical density of degeneracies in quantum regular systems Fendrik, Alejandro J. Sánchez, María José The spectrum of eigenenergies of a quantum integrable system whose Hamiltonian depends on a single parameter shows degeneracies (crossings) when the parameter varies. We derive a semiclassical expression for the density of crossings in the plane energy-parameter, that is the number of crossings per unit of energy and unit of parameter, in terms of classical periodic orbits. We compare the results of the semiclassical formula with exact quantum calculations for two specific quantum integrable billiards. Fil:Fendrik, A.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Sánchez, M.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2000 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03054470_v33_n12_p2345_Fendrik http://hdl.handle.net/20.500.12110/paper_03054470_v33_n12_p2345_Fendrik
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description The spectrum of eigenenergies of a quantum integrable system whose Hamiltonian depends on a single parameter shows degeneracies (crossings) when the parameter varies. We derive a semiclassical expression for the density of crossings in the plane energy-parameter, that is the number of crossings per unit of energy and unit of parameter, in terms of classical periodic orbits. We compare the results of the semiclassical formula with exact quantum calculations for two specific quantum integrable billiards.
author Fendrik, Alejandro J.
Sánchez, María José
spellingShingle Fendrik, Alejandro J.
Sánchez, María José
Semiclassical density of degeneracies in quantum regular systems
author_facet Fendrik, Alejandro J.
Sánchez, María José
author_sort Fendrik, Alejandro J.
title Semiclassical density of degeneracies in quantum regular systems
title_short Semiclassical density of degeneracies in quantum regular systems
title_full Semiclassical density of degeneracies in quantum regular systems
title_fullStr Semiclassical density of degeneracies in quantum regular systems
title_full_unstemmed Semiclassical density of degeneracies in quantum regular systems
title_sort semiclassical density of degeneracies in quantum regular systems
publishDate 2000
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03054470_v33_n12_p2345_Fendrik
http://hdl.handle.net/20.500.12110/paper_03054470_v33_n12_p2345_Fendrik
work_keys_str_mv AT fendrikalejandroj semiclassicaldensityofdegeneraciesinquantumregularsystems
AT sanchezmariajose semiclassicaldensityofdegeneraciesinquantumregularsystems
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